Answer: 48° and 132°
Step-by-step explanation:
Given : Two angles are supplementary. The measure of one angle is 36° more than twice the measure of the other angle.
Let x° be one of the angles , then the next angle would be (2x+36)°.
When two angles are supplementary , then they are added up to 180 degrees.
⇒ x° +(2x+36)° =180°
⇒ x+2x+36=180
⇒ 3x=180-36 [Subtract 36 from both sides ]
⇒ 3x=144
⇒ x=48 [Divide both sides by 3]
⇒2x+36= 2(48)+36
⇒2x+36=132
∴ The angles are 48° and 132°.
